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Lectures on the Edge-of-the-Wedge Theorem
W. Rudin
A co-publication of the AMS and CBMS.
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CBMS Regional Conference Series in Mathematics
1971; 33 pp; softcover
Number: 6
Reprint/Revision History:
third printing 2000
ISBN-10: 0-8218-1655-1
ISBN-13: 978-0-8218-1655-4
List Price: US$20
Member Price: US$16
All Individuals: US$16
Order Code: CBMS/6
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Reviews

"The lucid style of the author makes previously difficult material easily available to graduate students. He avoids abstract and sophisticated formulations but excellently prepares the interested reader to pursue the more general cohomological formulation of this type of theorem."

-- F. T. Birtel, Mathematical Reviews

Table of Contents

  • Introduction
  • The one-variable case
  • Tubes with a common edge
  • Proof of the continuous version
  • The Banach-Steinhaus theorem
  • Test functions
  • A lemma about the radius of convergence
  • Proof of the distribution version
  • A reflection theorem
  • Applications to function theory in polydiscs
  • Epstein's generalization
  • References
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